Question 14
$$
a^b b^c c^a = p.
$$
Find all triples $(a, b, c)$ of integers (not necessarily positive) such that the equation holds, where $p$ is a prime number.
a^b b^c c^a = p.
$$
Find all triples $(a, b, c)$ of integers (not necessarily positive) such that the equation holds, where $p$ is a prime number.